For a motor, load, and torque-speed system shown be...
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For a motor, load, and torque-speed system shown below 1) Find the differential equation relating input ea(t) and output ?L(t). (Hint: ; ( ) ( ) ( ) ( ) ( ) ; ; ( ) ( ) 1 2 2 2 1 2 2 1 T t K i t dt d t e t R i t K t N N D t N N J D D N N J J m a a m a a a b m a L m a L m L ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? where ea(t) and ia(t) are the armature voltage and current, Jm and Dm are the equivalent inertia and damping; Tm(t) is the torque developed by the motor; N1/N2 is the ratio of the gear system.) (50 marks) 2) Determine the system transfer function G(s)= ?L(s)/Ea(s). (20 marks) 3) Given Ja=5, JL=700, Da=2, DL=800, N1=100, N2=1000, Ka=5, Kb=2 and Ra=1, obtain the time response for a unit impulse input. (30 marks) 4) If the above system is considered as a plant, and a feedback control system is formed as below, for gain K=40, obtain the unit step response of the feedback control system. (30 marks) 5) Draw a root locus and analyze the stability of the feedback system in 4) (70 marks)

please find the attached solution in pdf file. In the solution file the solution is handwritten by following proper indentations and spacing a . All the variables and symbols used in the solution have clearly defined. The symbols used in the solution are of its standards meaning and based on the question file. The variables used in the solution are clearly defined. Hope it will help you in your assignment if any query please write here. If the attached solution is helpful to you please rate me. cheers!

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please find the attached solution in pdf file. In the solution file the solution is handwritten by following proper indentations and spacing a . All the variables and symbols used in the solution have clearly defined. The symbols used in the solution are of its standards meaning and based on the question file. The variables used in the solution are clearly defined. Hope it will help you in your assignment if any query please write here. If the attached solution is helpful to you please rate me. cheers!